Integral Transform Techniques for Green's Function

In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and ac...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Watanabe, Kazumi (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Series:Lecture Notes in Applied and Computational Mechanics,
Subjects:
Online Access:http://dx.doi.org/10.1007/978-3-319-00879-0
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Description
Summary:In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.
Physical Description:XII, 190 p. 34 illus. online resource.
ISBN:9783319008790
ISSN:1613-7736 ;